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Deflection in Leaf Spring given Load Formula

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Deflection of Leaf Spring is how a spring responds when force is applied or released. Check FAQs

δ Leaf = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot E \cdot n \cdot b \cdot t^{3}}

δ_Leaf - Deflection of Leaf Spring?W_load - Spring Load?L - Length in Spring?E - Young's Modulus?n - Number of Plates?b - Width of Cross Section?t - Thickness of Section?

Deflection in Leaf Spring given Load Example

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Here is how the Deflection in Leaf Spring given Load equation looks like with Values.

Here is how the Deflection in Leaf Spring given Load equation looks like with Units.

Here is how the Deflection in Leaf Spring given Load equation looks like.

494.702 = \frac{3 \cdot 85 \cdot 4170^{3}}{8 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3}}

494.702mm = \frac{3 \cdot 85N \cdot {4170mm}^{3}}{8 \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3}}

494.702 = \frac{3 \cdot 85 \cdot 4170^{3}}{8 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3}}

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Deflection in Leaf Spring given Load Solution

Follow our step by step solution on how to calculate Deflection in Leaf Spring given Load?

FIRST Step Consider the formula

δ Leaf = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot E \cdot n \cdot b \cdot t^{3}}

Next Step Substitute values of Variables

∴

δ Leaf = \frac{3 \cdot 85N \cdot {4170mm}^{3}}{8 \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3}}

Next Step Convert Units

∴

δ Leaf = \frac{3 \cdot 85N \cdot {4.17m}^{3}}{8 \cdot 20000MPa \cdot 8 \cdot 0.3m \cdot {0.46m}^{3}}

Next Step Prepare to Evaluate

∴

δ Leaf = \frac{3 \cdot 85 \cdot {4.17}^{3}}{8 \cdot 20000 \cdot 8 \cdot 0.3 \cdot {0.46}^{3}}

Next Step Evaluate

∴

δ Leaf = 0.494701954200527m

Next Step Convert to Output's Unit

∴

δ Leaf = 494.701954200527mm

LAST Step Rounding Answer

∴

δ Leaf = 494.702mm

Deflection in Leaf Spring given Load Formula Elements

Variables

Deflection of Leaf Spring

Deflection of Leaf Spring is how a spring responds when force is applied or released.

Symbol: δ_Leaf

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Leaf Spring

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

Length in Spring

Length in Spring is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length in Spring

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Number of Plates

Number of Plates is the count of plates in the leaf spring.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Plates

Width of Cross Section

Width of Cross Section is the geometric measurement or extent of the member from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Cross Section

Thickness of Section

Thickness of Section is the dimension through an object, as opposed to length or width.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Section

Other formulas in For Centrally Loaded Beam category

Go Modulus of Elasticity in Leaf Spring given Deflection

E = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot δ Leaf \cdot n \cdot b \cdot t^{3}}

Go Load given Deflection in Leaf Spring

W load = \frac{8 \cdot δ Leaf \cdot E \cdot n \cdot b \cdot t^{3}}{3 \cdot L^{3}}

How to Evaluate Deflection in Leaf Spring given Load?

Deflection in Leaf Spring given Load evaluator uses Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3) to evaluate the Deflection of Leaf Spring, The Deflection in Leaf Spring given Load formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded. Deflection of Leaf Spring is denoted by δ_Leaf symbol.

How to evaluate Deflection in Leaf Spring given Load using this online evaluator? To use this online evaluator for Deflection in Leaf Spring given Load, enter Spring Load (W_load), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t) and hit the calculate button.

FAQs on Deflection in Leaf Spring given Load

What is the formula to find Deflection in Leaf Spring given Load?

The formula of Deflection in Leaf Spring given Load is expressed as Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3). Here is an example- 494702 = (3*85*4.17^3)/(8*20000000000*8*0.3*0.46^3).

How to calculate Deflection in Leaf Spring given Load?

With Spring Load (W_load), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t) we can find Deflection in Leaf Spring given Load using the formula - Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3).

Can the Deflection in Leaf Spring given Load be negative?

No, the Deflection in Leaf Spring given Load, measured in Length cannot be negative.

Which unit is used to measure Deflection in Leaf Spring given Load?

Deflection in Leaf Spring given Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection in Leaf Spring given Load can be measured.

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Deflection in Leaf Spring given Load Formula

Deflection in Leaf Spring given Load Example

Deflection in Leaf Spring given Load Solution

Deflection in Leaf Spring given Load Formula Elements

Other formulas in For Centrally Loaded Beam category

How to Evaluate Deflection in Leaf Spring given Load?

FAQs on Deflection in Leaf Spring given Load

Variable Name